V. A. Morozov, È. M. Muhamadiev, A. B. Nazimov, “Continuous and bounded harmonic functions. Exact and approximate methods”, Num. Meth. Prog., 8:1 (2007), 38

Numerical methods and programming

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Num. Meth. Prog.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Numerical methods and programming, 2007, Volume 8, Issue 1, Pages 38–60 (Mi vmp469)

Вычислительные методы и приложения

Continuous and bounded harmonic functions. Exact and approximate methods

V. A. Morozov^a, È. M. Muhamadiev^b, A. B. Nazimov^b

^a Lomonosov Moscow State University, Research Computing Center
^b Vologda State Technical University

Full-text PDF (269 kB)

Abstract: The problem of representation of functions harmonic on an open square is considered for the case when these functions satisfy one of the following conditions: a) they have continuous extensions to the closed square and b) they are bounded in the open square. A full description of these classes of harmonic functions is obtained in terms of the properties of boundary values, double-layer potential densities, and the intrinsic properties of harmonic functions in an open square.

Keywords: harmonic functions, double-layer potential, unstable problems, regularization methods, ill-posed problems.

Document Type: Article

UDC: 517

Language: Russian

Citation: V. A. Morozov, È. M. Muhamadiev, A. B. Nazimov, “Continuous and bounded harmonic functions. Exact and approximate methods”, Num. Meth. Prog., 8:1 (2007), 38–60

Citation in format AMSBIB

\Bibitem{MorMuhNaz07}

\by V.~A.~Morozov, \`E.~M.~Muhamadiev, A.~B.~Nazimov

\paper Continuous and bounded harmonic functions. Exact and approximate methods

\jour Num. Meth. Prog.

\yr 2007

\vol 8

\issue 1

\pages 38--60

\mathnet{http://mi.mathnet.ru/vmp469}

Linking options:

https://www.mathnet.ru/eng/vmp469

https://www.mathnet.ru/eng/vmp/v8/i1/p38

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	239
Full-text PDF :	83
References:	3

Registration to the website

Logotypes